{"status": "success", "data": {"description_md": "There are 400 students at Cayley H.S., where the ratio of boys to girls is $3:2$. There are 600 students at Fermat C.I., where the ratio of boys to girls is $2:3$. When considering all the students from both schools, what is the ratio of boys to girls?\n\n$\\text{(A)}\\ 2:3\\qquad\\text{(B)}\\ 12:13\\qquad\\text{(C)}\\ 1:1\\qquad\\text{(D)}\\ 6:5\\qquad\\text{(E)}\\ 3:2$\n\n___\n\n**[Pascal](https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf), by [CEMC](https://cemc.uwaterloo.ca/), is licensed under the [CC BY-NC 3.0 DEED](https://creativecommons.org/licenses/by-nc/3.0/). They are not affiliated with or endorse TopsOJ in any way.**\n", "description_html": "<p>There are 400 students at Cayley H.S., where the ratio of boys to girls is <span class=\"katex--inline\">3:2</span>. There are 600 students at Fermat C.I., where the ratio of boys to girls is <span class=\"katex--inline\">2:3</span>. When considering all the students from both schools, what is the ratio of boys to girls?</p>\n<p><span class=\"katex--inline\">\\text{(A)}\\ 2:3\\qquad\\text{(B)}\\ 12:13\\qquad\\text{(C)}\\ 1:1\\qquad\\text{(D)}\\ 6:5\\qquad\\text{(E)}\\ 3:2</span></p>\n<hr>\n<p><strong><a href=\"https://www.cemc.uwaterloo.ca/contests/past_contests.html#pcf\">Pascal</a>, by <a href=\"https://cemc.uwaterloo.ca/\">CEMC</a>, is licensed under the <a href=\"https://creativecommons.org/licenses/by-nc/3.0/\">CC BY-NC 3.0 DEED</a>. They are not affiliated with or endorse TopsOJ in any way.</strong></p>\n", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 1, "problem_name": "2010 Pascal Problem 13", "can_next": true, "can_prev": true, "nxt": "/problem/10_pascal_p14", "prev": "/problem/10_pascal_p12"}}